4(3x+2)=-3(x+4)

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Solution for 4(3x+2)=-3(x+4) equation: 


Simplifying
4(3x + 2) = -3(x + 4)

Reorder the terms:
4(2 + 3x) = -3(x + 4)
(2 * 4 + 3x * 4) = -3(x + 4)
(8 + 12x) = -3(x + 4)

Reorder the terms:
8 + 12x = -3(4 + x)
8 + 12x = (4 * -3 + x * -3)
8 + 12x = (-12 + -3x)

Solving
8 + 12x = -12 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
8 + 12x + 3x = -12 + -3x + 3x

Combine like terms: 12x + 3x = 15x
8 + 15x = -12 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 15x = -12 + 0
8 + 15x = -12

Add '-8' to each side of the equation.
8 + -8 + 15x = -12 + -8

Combine like terms: 8 + -8 = 0
0 + 15x = -12 + -8
15x = -12 + -8

Combine like terms: -12 + -8 = -20
15x = -20

Divide each side by '15'.
x = -1.333333333

Simplifying
x = -1.333333333

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